Analysis, Modeling and Stability of Fractional Order Differential Systems. (Record no. 69198)

000 -LEADER
fixed length control field 04134cam a2200529Ia 4500
001 - CONTROL NUMBER
control field on1134074461
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220711203545.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191228s2019 enk ob 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781119686859
-- (electronic bk. ;
-- oBook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1119686857
-- (electronic bk. ;
-- oBook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1119686849
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781119686842
-- (electronic bk.)
029 1# - (OCLC)
OCLC library identifier AU@
System control number 000066461270
029 1# - (OCLC)
OCLC library identifier CHNEW
System control number 001077300
029 1# - (OCLC)
OCLC library identifier CHVBK
System control number 582552907
082 04 - CLASSIFICATION NUMBER
Call Number 515/.35
100 1# - AUTHOR NAME
Author Trigeassou, Jean-Claude.
245 10 - TITLE STATEMENT
Title Analysis, Modeling and Stability of Fractional Order Differential Systems.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication London :
Publisher ISTE, Ltd. ;
Place of publication Hoboken :
Publisher John Wiley & Sons, Incorporated,
Year of publication ©2019.
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1 online resource (352 pages)
505 0# - FORMATTED CONTENTS NOTE
Remark 2 Initialization, State Observation and Control. Initialization of Fractional Order Systems -- Observability and Controllability of FDEs/FDSs -- Improved Initialization of Fractional Order Systems -- State Control of Fractional Differential Systems -- Fractional Model-based Control of the Diffusive RC Line -- Stability of Fractional Differential Equations and Systems. Stability of Linear FDEs Using the Nyquist Criterion -- Fractional Energy -- Lyapunov Stability of Commensurate Order Fractional Systems -- Lyapunov Stability of Non-commensurate Order Fractional Systems -- An Introduction to the Lyapunov Stability of Nonlinear Fractional Order Systems.
520 ## - SUMMARY, ETC.
Summary, etc This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization - long considered to be major theoretical pitfalls - have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.
590 ## - LOCAL NOTE (RLIN)
Local note John Wiley and Sons
650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1
General subdivision Industrial Engineering.
700 1# - AUTHOR 2
Author 2 Maamri, Nezha.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1002/9781119686859
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks
336 ## -
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-- txt
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337 ## -
-- computer
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-- rdamedia
338 ## -
-- online resource
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588 0# -
-- Print version record.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Fractional differential equations.
650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1
-- TECHNOLOGY & ENGINEERING
650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Fractional differential equations.
-- (OCoLC)fst01909596
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-- 92
-- DG1

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